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Finding the Fourth Proportional to 289,009.08, 432,449.28 and 174,749.40

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Solution

The fourth proportional to 289,009.08, 432,449.28 and 174,749.40 is: 261,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.08 : 432,449.28 = 174,749.40 : x
  2. Step 2: Convert to fraction form
    289,009.08/432,449.28 = 174,749.40/x
  3. Step 3: Cross multiply
    289,009.08x = 432,449.28 × 174,749.40
  4. Step 4: Simplify right side
    289,009.08x = 75,570,252,210.43
  5. Step 5: Solve for x
    x = 75,570,252,210.43/289,009.08
  6. Step 6: Final answer
    x = 261,480.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.